Families and Irreducible Anomaly-Free Sets for 3-3-3-1 Gauge Theories

Giraldo, Yithsbey Y Benavides, Richard H. Y Rojas, Eduardo (2025) Families and Irreducible Anomaly-Free Sets for 3-3-3-1 Gauge Theories. In: 5th Colombian Meeting on Flavor Physics, 10/12/25, Tolima. Colombia. (Unpublished)

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Resumen

We develop a model-independent framework to construct quark–lepton families in 3-3-3-1 gauge theories (flipped trinification), GFT = SU(3)C × SU(3)L × SU(3)R × U(1)X, for arbitrary electric-charge embedding. We introduce Irreducible Anomaly-Free Sets (IAFS): minimal sets of fermion multiplets that cancel on their own all gauge and mixed anomalies [SU(3)L,R]³, [SU(3)L,R]²U(1)X, [SU(3)C]²U(1)X, U(1)X³, grav²U(1)X. Standard-Model (SM) families appear as unions of only a few IAFS, yielding general constraints that relate family replication to color and reproducing 3-3-1–like non-universality as a limiting case. For each IAFS we provide consistent charge assignments, a minimal scalar sector for sequential breaking, and renormalizable Yukawa interactions that generate realistic quark and lepton masses (including right-handed neutrinos). The classification has direct phenomenological meaning: it predicts patterns for extra neutral currents (Z′, Z′′), exotic fermion charges, possible residual discrete symmetries, and characteristic flavor textures.

Tipo de Elemento:	Conferencia o Taller artículo (Speech)
Palabras Clave:	3-3-3-1 gauge theories, flipped trinification, irreducible anomaly-free sets (IAFS), gauge anomaly cancellation, fermion families, electric charge embedding, SU(3)C × SU(3)L × SU(3)R × U(1)X symmetry, family replication, extensions of the Standard Model, exotic fermions, extra neutral gauge bosons (Z′, Z′′), Yukawa interactions, scalar sector and sequential symmetry breaking, right-handed neutrinos, and flavor structures.
Asunto:	Q Ciencias > Q Science (General) Q Ciencias > QC Physics
Division:	Facultad de Ciencias Exactas y Naturales > Programa de Física > Eventos
Depósito de Usuario:	Prof. Yithsbey / Y. Giraldo
Fecha Deposito:	06 Mar 2026 15:19
Ultima Modificación:	06 Mar 2026 15:19
URI:	http://sired.udenar.edu.co/id/eprint/17719

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